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212101001212000 = 2553291828456907
BaseRepresentation
bin110000001110011110011100…
…110101010111000001100000
31000210222122202110022100021111
4300032132130311113001200
5210300030322302241000
62031033504350033104
762450535351425125
oct6016363465270140
91023878673270244
10212101001212000
11616445907a468a
121b9567181a8794
139147066a30c24
143a53a5960874c
15197c379069cba
hexc0e79cd57060

212101001212000 has 96 divisors (see below), whose sum is σ = 539102234754720. Its totient is φ = 81914869388800.

The previous prime is 212101001211977. The next prime is 212101001212019. The reversal of 212101001212000 is 212100101212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914112454 + ... + 914344453.

It is an arithmetic number, because the mean of its divisors is an integer number (5615648278695).

Almost surely, 2212101001212000 is an apocalyptic number.

212101001212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101001212000 is an abundant number, since it is smaller than the sum of its proper divisors (327001233542720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212101001212000 is a wasteful number, since it uses less digits than its factorization.

212101001212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828456961 (or 1828456943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212101001212000 its reverse (212100101212), we get a palindrome (212313101313212).

The spelling of 212101001212000 in words is "two hundred twelve trillion, one hundred one billion, one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 1828456907 3656913814 7313827628 9142284535 14627655256 18284569070 29255310512 36569138140 45711422675 53025250303 58510621024 73138276280 91422845350 106050500606 146276552560 182845690700 212101001212 228557113375 265126251515 292553105120 365691381400 424202002424 457114226750 530252503030 731382762800 848404004848 914228453500 1060505006060 1325631257575 1462765525600 1696808009696 1828456907000 2121010012120 2651262515150 3656913814000 4242020024240 5302525030300 6628156287875 7313827628000 8484040048480 10605050060600 13256312575750 21210100121200 26512625151500 42420200242400 53025250303000 106050500606000 212101001212000